Chapter 6 Review
NAME: ___________________
Solve for x.
1.
5
x

11 2 x  2
3.
x 6
7
 
3 y 1.4
x = _______
x  5 2x  1

5
2
2.
x = _______
x = _____
y = _____
Answer the follow.
4. A map is scaled so that 1 cm equals 15 miles. If two towns are 75 miles apart, then how far
apart are the towns on the map?
5. A triangle has side ratios of 2:3:6. If the perimeter is 132 feet, find each side measure.
6. ABC FED
x = _____
7. ABC FED
C
F
x
y
4
70
A
8. ABCD EFGH
24
B
A
20
G
8
x = _____
x
E
B
C
y
y =_____
F
9. ABE ACD
C
A
x
16
14
60
B
D
y = _____
21
D
y = _____
x = _____
E
A
D
6
y
E
2
D
F
x = _____
9
x
B
8
y
C
y = _____
40
20
Scale factor of ACD to ABE : ______
H
25
E
11. FGH QPR, mF = 45, mR = 65
12. ABC ACD
A
F
mH = ____
R
P
x= ____
4
y
B
mP = ____
Q
G
H
10
D
y= ____
8
x+5
C
Scale factor of ABC to ACD : ________
19. Are the triangles similar? _____ If YES,
14. Are the triangles similar? _____ If YES,
then ABE  ______ using _________
then ABC  ______ using ___________
A
D
E
8
10
B
22.5
C
A
18
D
C
E
B
15. Are the triangles similar? _____ If YES,
16. Are the triangles similar? _____ If YES,
then ABC  ______ using : _________
then ABC  ______ using: ________
B
A
C
4
3
D
F
6
D
8
A
E
C
B
E
17. Are the triangles similar? _____ If YES,
18. Are the triangles similar? _____ If YES,
then ABC  ______ using ___________
then ABC  ______ using : __________
D
A
4
25
16
20
6
9 A
B
15
12
B
5
C
F
24
E
C
20
D
21. Are the triangles similar? _____ If YES,
22. Are the triangles similar? _____ If YES,
then ABC  ______ using: ___________
then ABC  ______ using ___________
B
E
4
20
A
A
5
D
28
36
30
22
8
C
10
E
B
D
23. ABCD EFGH
x
H
G
C
42
24. x = ______
D
x = ______ A
x
10.8
10
8
10
E
B
F
9
4
F
C
5
7
26. ABC DEC,
25. x = ______
A
D
x = _____, y = ______
x
B
18
x
B
24
C
20
y
C
21
30
A
E
B
28. ABC  DFE
27.
10
5
E
x = _______
y
3
20
x
y
y = _______
C
8
x
A
D
x = ________
18
F
y = ________
29.
6
30.
x
x = ______
x
24
16
9
31)
x = ______
15
C
6
ΔABC ~ ΔDEF
AB = 30, DE = 25, BX = 2x+5, EY = x +10.
Find x.
x = _______
32. Find the perimeter of ΔLPZ, if the two triangles are similar.
Perimeter of ΔLPZ = _________
33. In ∆ABC, DE is parallel to AC and DE = 10. What is the length of AC if DE is the
midsegment of ∆ABC?
34. In ∆RST, ̅̅̅̅
𝑇𝑈 bisects ∠T. If U is a point on ̅̅̅̅
𝑅𝑆, RU=6, RT=9, ST=12, find RS.
Draw a picture and label segments to solve.
̅̅̅̅ . Show all work.
35. Prove ̅̅̅̅
𝐷𝐸 ∥ 𝐵𝐶
A
15
D
9
C
20
E
12
20
B